Question

Leonard is going to construct a pyramid with cardboard for math class. Find how many square inches (in.2)
of cardboard he will need. Use 4(12)bh+b2
, where b
, the base of the pyramid, is 3 in. and h
, the height of the pyramid, is 8 in.(1 point)

Answer 1

To find the amount of cardboard Leonard will need to construct the pyramid, we can use the formula provided:

\[
\text{Surface Area} = 4(12)bh + b^2
\]

where:
- \( b \) is the base length of the pyramid, which is 3 inches,
- \( h \) is the height of the pyramid, which is 8 inches.

Let's substitute \( b = 3 \) and \( h = 8 \) into the formula:

First, calculate \( b^2 \):

\[
b^2 = 3^2 = 9
\]

Next, calculate \( 4(12)bh \):

\[
4(12)bh = 4(12)(3)(8)
\]

Now calculating step-by-step:

1. Calculate \( 3 \times 8 = 24 \).
2. Then, calculate \( 12 \times 24 = 288 \).
3. Finally, calculate \( 4 \times 288 = 1152 \).

Now, put it all together:

\[
\text{Surface Area} = 1152 + 9 = 1161
\]

So, the total area of cardboard Leonard will need to construct the pyramid is **1161 square inches**.